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Finding the Fourth Proportional to 570,704.42, 787,580.27 and 328,982.60

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Solution

The fourth proportional to 570,704.42, 787,580.27 and 328,982.60 is: 454,000.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,704.42 : 787,580.27 = 328,982.60 : x
  2. Step 2: Convert to fraction form
    570,704.42/787,580.27 = 328,982.60/x
  3. Step 3: Cross multiply
    570,704.42x = 787,580.27 × 328,982.60
  4. Step 4: Simplify right side
    570,704.42x = 259,100,199,350.49
  5. Step 5: Solve for x
    x = 259,100,199,350.49/570,704.42
  6. Step 6: Final answer
    x = 454,000.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.